13 citations · 20 across the 12 of their papers we have counts for
9 papers · 1 filter
A class of linear operators on Bergman spaces
Zengjian Lou, Antti Rasila, Senhua Zhu
We study the boundedness of the linear operator on . In particular, we obtain a sufficient and necessary condition for the compactness of the li…
Nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk
Senhua Zhu, Yuxia Liang
In this paper, the analysis of nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk is developed. Firstly, we transcribe Chalendar, Chevr…
The Takai duality of -operator algebras with incompressibility
Zhen Wang, Sen Zhu
Let be a countable discrete Abelian group, be a separable unital -operator algebra which has unique -operator matrix norms for , and be an is…
Which hyponormal block Toeplitz operators are either normal or analytic?
Senhua Zhu, Yufeng Lu, Chao Zu
In this paper, we continue Curto-Hwang-Lee's work to study the connection between hyponormality and subnormality for block Toeplitz operators acting on the vector-valued Hardy spac…
-nuclearity of -operator crossed products
Zhen Wang, Sen Zhu
Let be a measure space and be a norm closed subalgebra of , where . Let be an -operator algebra dynam…
The orthogonal Lie algebra of operators: ideals and derivations
Qinggang Bu, Sen Zhu
We study in this paper the infinite-dimensional orthogonal Lie algebra which consists of all bounded linear operators on a separable, infinite-dimensional, comp…
Reducible and irreducible approximation of complex symmetric operators
Ting Liu, Jiayin Zhao, Sen Zhu
This paper aims to study reducible and irreducible approximation in the set $\textsl{CSO}$ of all complex symmetric operators on a separable, complex Hilbert space . Wh…
Random weighted shifts
Guozheng Cheng, Xiang Fang, Sen Zhu
In this paper we initiate the study of a fundamental yet untapped random model of non-selfadjoint, bounded linear operators acting on a separable complex Hilbert space. We replace…
Approximation of chaotic operators
Geng Tian, Luoyi Shi, Sen Zhu +1
As well-known, the concept "hypercyclic" in operator theory is the same as the concept "transitive" in dynamical system. Now the class of hypercyclic operators is well studied. Fol…